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首页> 外文期刊>Journal of Applied Mechanics: Transactions of the ASME >Modeling of Flexible Beam Networks and Morphing Structures by Geometrically Exact Discrete Beams
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Modeling of Flexible Beam Networks and Morphing Structures by Geometrically Exact Discrete Beams

机译:几何精确离散光束柔性梁网络和变形结构的建模

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摘要

We demonstrate how a geometrically exact formulation of discrete slender beams can be generalized for the efficient simulation of complex networks of flexible beams by introducing rigid connections through special junction elements. The numerical framework, which is based on discrete differential geometry of framed curves in a time-discrete setting for time- and history-dependent constitutive models, is applicable to elastic and inelastic beams undergoing large rotations with and without natural curvature and actuation. Especially, the latter two aspects make our approach a versatile and efficient alternative to higher-dimensional finite element techniques frequently used, e.g., for the simulation of active, shape-morphing, and reconfigurable structures, as demonstrated by a suite of examples.
机译:我们展示了如何通过通过特殊结元件引入刚性连接来推广用于在柔性梁的复杂网络的高效模拟的地形上精确配方。 基于时间和历史依赖性本构模型的时间离散设置的基于帧曲线的离散差异几何形状的数值框架适用于经历大型旋转和没有自然曲率和致动的弹性和非弹性梁。 特别是,后两个方面使我们的方法成为经常使用的更高尺寸有限元技术的多功能和有效的替代方案,例如,用于模拟活性,形状变形和可重新配置结构,如通过一套示例所证明的。

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